5 papers
Mirror symmetry for lattice-polarized abelian surfaces
Yu-Wei Fan, Kuan-Wen Lai
Inspired by the Dolgachev-Nikulin-Pinkham mirror symmetry for lattice-polarized K3 surfaces, we study its analogue for abelian surfaces. In this paper, we introduce lattice-polariz…
Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds
Yu-Wei Fan, Kuan-Wen Lai
We give counting formulas for the number of Fourier-Mukai partners of the K3 category of a very general special cubic fourfold.
On the irrationality of moduli spaces of projective hyperkähler manifolds
Daniele Agostini, Ignacio Barros, Kuan-Wen Lai
The aim of this paper is to estimate the irrationality of moduli spaces of hyperkähler manifolds of types K3, Kum, OG6, and OG10. We prove that the degrees of irratio…
Frobenius nonclassical hypersurfaces
Shamil Asgarli, Lian Duan, Kuan-Wen Lai
A smooth hypersurface over a finite field is called Frobenius nonclassical if the image of every geometric point under the -th Frobenius endomorphism remains in t…
Transverse linear subspaces to hypersurfaces over finite fields
Shamil Asgarli, Lian Duan, Kuan-Wen Lai
Ballico proved that a smooth projective variety of degree over a finite field of elements admits a smooth hyperplane section if . In this paper,…